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- Hyperstructure abstract "The hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called Hv – structures.A hyperoperation (*) on a non-empty set H is a mapping from H × H to power set P*(H) (the set of all non-empty sets of H), i.e.(*): H × H → P*(H): (x, y) → x*y ⊆ H.If Α, Β ⊆ Η then we define A*B = and A*x = A*{x}, x*B = {x}* B.(Η,*) is a semihypergroup if (*) is an associative hyperoperation, i.e. x*(y*z) = (x*y)*z, for all x,y,z of H.Furthermore, a hypergroup is a semihypergroup (H, *), where the reproduction axiom is valid, i.e. a*H = H*a = H, for all a of H.".
- Hyperstructure wikiPageExternalLink aha.eled.duth.gr.
- Hyperstructure wikiPageExternalLink books?id=uvCrZ3iGur4C.
- Hyperstructure wikiPageExternalLink 8481.
- Hyperstructure wikiPageID "1938461".
- Hyperstructure wikiPageRevisionID "524415700".
- Hyperstructure hasPhotoCollection Hyperstructure.
- Hyperstructure subject Category:Abstract_algebra.
- Hyperstructure comment "The hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called Hv – structures.A hyperoperation (*) on a non-empty set H is a mapping from H × H to power set P*(H) (the set of all non-empty sets of H), i.e.(*): H × H → P*(H): (x, y) → x*y ⊆ H.If Α, Β ⊆ Η then we define A*B = and A*x = A*{x}, x*B = {x}* B.(Η,*) is a semihypergroup if (*) is an associative hyperoperation, i.e.".
- Hyperstructure label "Hyperstructure".
- Hyperstructure sameAs m.067jcj.
- Hyperstructure sameAs Q5958653.
- Hyperstructure sameAs Q5958653.
- Hyperstructure wasDerivedFrom Hyperstructure?oldid=524415700.
- Hyperstructure isPrimaryTopicOf Hyperstructure.